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Contents lists available atScienceDirect

Journal of Business Research

journal homepage:www.elsevier.com/locate/jbusres

What I see is what I want: Top-down attention biasing choice behavior

M. Vriens

a,⁎

, C. Vidden

b

, J. Schomaker

c

aDepartment of Marketing, University of Wisconsin, La Crosse, USA bDepartment of Mathematics, University of Wisconsin, La Crosse, USA

cFaculty of Social and Behavioural Sciences, Section Health, Medical & Neuropsychology, Leiden University, the Netherlands

A R T I C L E I N F O Keywords: Decision-making Attention Value-based choices Eye tracking Buyer choices Marketing A B S T R A C T

When making a purchasing decision, people typically scan the available options before deciding. Previous studies have shown that bottom-up stimulus-driven factors can influence choice behavior through their effect on attention, but studies that investigate the effect of top-down attention are scarce. Here, we investigate the role of top-down attention, i.e. by using directional and neutral cues, in a choice task using eyefixations as a proxy of attention. On each trial, participants chose a preferred food item amongst two similarly valued options. Attention was manipulated using directional and neutral cues. We show that directional cues have a significant effect on attention, and attention has a significant effect on choice. A mediation analysis confirms the indirect effect of cues on choice. This suggests that cues can be used to guide attention to consumer products and affect purchasing decisions.

1. Introduction

Attention as a concept has become increasingly important in the study of consumer behavior. Eye movements andfixations are typically used as measures of attention (e.g. Deubel & Schneider, 1996 and Orquin & Mueller Loose, 2013), and a range of studies show that at-tention and decision-making are tightly linked (e.g.Krajbich, Armel, & Rangel, 2010; Orquin & Mueller Loose, 2013; Peschel, Orquin, & Mueller Loose, 2019;Pieters, Warlop, & Wedel, 2002;Schotter, Berry, McKenzie, & Rayner, 2010; Towal, Mormann, & Koch, 2013). Con-sumers often scan the available options prior to making a choice; for example, when scanning products on a supermarket shelf (e.g.Gidlöf, Anikin, Lingonblad, & Wallin, 2017). Eye movements help us gather information about the available options allowing us to recognize them and retrieve corresponding value representations (Schomaker, Walper, Wittmann, & Einhauser, 2017).

Studies have shown that we typically dwell longer on an object of our preference and choice (e.g.Gidlöf et al., 2017;Jantathai, Danner, Joechl, & Dürrschmid, 2013;Krajbich et al., 2010;Schotter et al., 2010; Shimojo, Simion, Shimojo, & Scheier, 2003). Several studies have suggested that the relationship between attentional allocation and choice can be causal: When viewing duration is experimentally ma-nipulated, value-based choice behavior is biased towards the items that

were shown longer (Armel, Beaumel, & Rangel, 2008).Zhang, Wedel, and Pieters (2009)showed the mediating effect of attention on sales. Similarfindings have been obtained with more complex decisions such as moral choices (Pärnamets et al., 2015). Of course, consumer choices are also driven by the relative utility or value of the choice alternatives (e.g.Meißner, Musalem, & Huber, 2016). So, as a basic model of choice, we need to include both attention and value. In addition, attention in and of itself may affect the value of an alternative (Lim, O'Doherty, & Rangel, 2011).

Viewing behavior (attention) thus plays a crucial role in the value-based comparator process underlying decision-making (Krajbich & Rangel, 2011). According toAwh, Belopolsky, and Theeuwes (2012), attention can be driven by top-down factors (e.g. a person's goals), bottom-up factors (distinctiveness of a stimulus relative to its sur-roundings), or other factors such as selection history, e.g. the mere exposure effect (Zajonc, 1968). For more discussion of this topic see Awh et al. (2012);Orquin and Mueller Loose (2013);Orquin, Perkovic, and Grunert (2018), andTheeuwes (2010). Any factor that may influ-ence eye movements, and thereby attention, can potentially influinflu-ence choice behavior (e.g.Krajbich & Rangel, 2011). Hence, bottom-up and top-down factors can possibly directly impact choice or can indirectly impact choice via attention.

Bottom-up factors influencing attention include stimulus features

https://doi.org/10.1016/j.jbusres.2019.09.001

Received 2 August 2018; Received in revised form 30 August 2019; Accepted 2 September 2019

We would like to thank the reviewers of the Journal of Business Research and especially Professor Jacob Orquin & Professor Michel Wedel for their help and

constructive feedback.

Corresponding author at: Wassenaarseweg 52, 2333 AK Leiden, the Netherlands.

E-mail address:mvriens@uwlax.edu(M. Vriens).

Available online 09 September 2019 0148-2963/ Published by Elsevier Inc.

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such as position, surface size, contrast, color, brightness, orientation, position, size, symmetry, etc. (e.g. Itti & Koch, 2000; Itti, Koch, & Niebur, 1998;Janiszewski, Kuo, & Tavassoli, 2013;Kootstra, de Boer, & Schomaker, 2011;Milosavljevic, Navalpakkam, Koch, & Rangel, 2012; Orquin & Mueller Loose, 2013; Pieters, Wedel, & Batra, 2010; Schomaker, Rau, Einhäuser, & Wittmann, 2017; Theeuwes, 1991, 1992). These bottom-up factors determine the visual salience of an object with respect to its background or other nearby objects. A red apple, for example, will stand out amongst green apples, but not so much amongst other red apples. Visual salience can impact attention (e.g.Awh et al., 2012;Theeuwes, 1992). Several studies have shown that visual salience can directly, or indirectly through its effects on attention, influence decision-making, biasing choice behavior towards more visually salient options (e.g.Chandon, Hutchinson, Bradlow, & Young, 2009; Lohse, 1997; Milosavljevic et al., 2012; Towal et al., 2013;van der Laan, Hooge, de Ridder, Viergever, & Smeets, 2015). The findings in the laboratory have been shown to be generalizable to more realistic settings, such as the supermarket (Gidlöf et al., 2017;Zhang et al., 2009).

Visual saliency can be estimated by computational models of visual attention (Itti et al., 1998;Itti & Koch, 2001;Pieters et al., 2010;van der Lans, Wedel, & Pieters, 2011), and can be manipulated by changing stimulus features, including colors (e.g. saturation), orientation, size, contrast, or complexity of stimuli relative to the background (Itti et al., 1998; Itti & Koch, 2000; Pieters et al., 2010). Computational visual salience can affect choice behavior (e.g.Krajbich et al., 2010;Krajbich & Rangel, 2011;Milosavljevic et al., 2012;Towal et al., 2013). For fast responses and with increasing cognitive load, visual saliency can pre-dict choice better than value, particularly when no strong preferences exist (Milosavljevic et al., 2012). Drift-diffusion models including both value and visual salience are better able to explain and predict viewing and choice behavior than models including only one of these factors (Towal et al., 2013).

Top-down factors include an individual's goals, mood, emotion, and task instructions (e.g.Awh et al., 2012;Öhman, Flykt, & Esteves, 2001; Pieters & Wedel, 2007;Rayner, Miller, & Rotello, 2008;Yarbus, 1967). A top-down attentional set, an attentional bias that promotes the per-ceptual selection of certain physical properties, may help you direct attention to relevant features. For example, when looking for your fa-vorite brand of shampoo in the supermarket, you may effectively direct your attention to items that match your image of the product or your associations with the brand. Top-down attention can also be guided by externally presented cues, such as arrows, that are aimed to direct at-tention to a certain location in space (Posner, 1980); for a review dis-cussing different types cue types seeChica, Martín-Arévalo, Botta, and Lupiáñez (2014).

Although, external cues could be used in marketing strategies - for example in shop displays - to direct attention to a new product, the role of externally guided top-down attention in value-based decision-making remains under-researched and will be the topic of the current study.

Summarizing, top-down and bottom-up factors may have a direct effect on choice or an indirect effect via attention (e.g.Milosavljevic et al., 2012;Peschel et al., 2019;Towal et al., 2013;Van der Laan et al., 2015).

Many studies investigating the role of attention in decision-making do not explicitly manipulate visual attention. Instead they vary ex-posure durations to the different options, for example, by showing some items longer than others (e.g.Armel et al., 2008), manipulating the timing of the decision (e.g.Pärnamets et al., 2015), manipulating the first fixation (e.g. van der Laan et al., 2015), or taking differences in visual salience into account (e.g.Chen, Mihalas, Niebur, & Stuphorn, 2013;Milosavljevic et al., 2012). It currently remains unclear whether similarfindings would be obtained if exposure durations between the options were matched, while also accounting for visual salience and top-down attention. Visual attention can effectively be manipulated in a

top-down way by using cues (Posner, 1980), such as arrows pointing to the left or right. In many consumer settings, colorful and visually salient products might all compete for attention. In such a situation it becomes difficult to manipulate visual product features in such a way that they stand out from the background. Especially in such cluttered and crowded environments it could be more effective to make consumers shift attention in another way.

Our paper investigates whether a top-down attentional bias as in-duced by external visual cues, such as arrows pointing to the left or the right, can influence attention and possibly can impact directly or in-directly consumer choice. We present the results of two experiments. Both experiments had two phases. In thefirst phase of the experiment, participants rated a series of food items on their desirability, by in-dicating how much they would like to eat each item after the experi-ment (using a slider from“not at all” to “very much”). In the second phase, participants chose between two food snacks (both with similar ratings). The items were preceded by a directional (left or right) or neutral (left and right) arrow. We expect that directional cues would result in top-down shifts of attention, biasing decision-making pro-cesses. We model attention as a function of value, salience, and type of cue (directional versus neutral), and we model consumer choices as a function of value, salience,fixation count (measured via eye tracking as a measure of attention), and type of cue.

2. Experiment 1 2.1. Participants

31 students from a senior marketing class at the University of Wisconsin-La Crosse, USA, participated in this study. Exclusion criteria were a history of mental illness (also including eating disorders), neu-rological or psychiatric illness, usage of psychotropic medication in the last three months, and age < 18 or > 40 years. When required, eyesight was corrected to normal by contact lenses. All participants gave written informed consent. The study was approved by the Institutional Review Board for the Protection of Human Subjects at the University of Wisconsin, La Crosse. The exclusion criteria described above led to the exclusion of two participants. Data from six additional participants was excluded because of a technical issue during eye tracking (commu-nication between the experimental PC and eye tracker was not stable; i.e., for the eye tracker data, messages regarding condition information were missing for one or more trials, making it impossible to retrace which stimulus was presented when). Data is reported for the re-maining set of 23 participants (age range = 20–23; M = 21.1, SD = 0.8; 1 left-handed). All included participants reported to be in somewhat good to excellent health and reported they regularly snacked. In return for participation, participants were given course credit and a $5 Starbucks card.

2.2. Materials and measures

Photographs of 12 savory and 22 sweet supermarket snacks acted as stimuli in the current study. All food items and their corresponding desirability ratings are shown inFig. 1, sorted from low to high mean (the full set of stimuli and stimuli pairs can be found at:https://osf.io/ yeqdw/). For each item the mean, standard deviation, minimum, and maximum desirability rating is shown.

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Walther & Koch, 2006). Saliency maps were calculated for each possible combination of items, and peak salience for each item for each com-bination was determined (based on influential models of attention:Itti & Koch, 2000;Itti et al., 1998).

2.3. Apparatus

The stimuli were presented on a desktop PC (3.6-GHz, 64-bit, 16-GB RAM, and a 24-inch 75-Hz monitor). The experiment was programmed using Open-Sesame version 3.1 (Mathot, Schreij, & Theeuwes, 2012). Eye tracking data were collected using the Tobii Pro X20-30 eye tracker at a sampling rate of 30 Hz using a binocular tracking technique. This eye tracker has 0.4° accuracy and 0.32° precision. Open-Sesame and the Tobii eye tracker were linked using the Tobii Software Development Kit.

2.4. Experimental task

The main experimental task consisted of a rating and a choice phase. In the ratings phase, participants werefirst asked to indicate how much they would like to eat the shown item after the experiment. During the rating phase, participants rated each of the snacks on a 1000-point scale (ranging from 0.0 to 100.0 using a slider); participants were not aware the scale was divided in 1000 points, (it was shown as a continuous

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68 trials. 2.5. Procedure

The experiment was conducted in one of the rooms of a commercial analytics firm: The room was quiet and well-lit. Prior to the actual experiment, subjects filled out a short Qualtrics survey, including questions about their current physical and mental health, snack famil-iarity, and behavior. Upon arrival on the testing day, participants were briefed about the specific experimental procedures and signed informed consent. First, the participants were shown a table where all the snacks used in our study were displayed. Snacks often come in different sizes andflavors and we wanted to make sure all participants recognized the snacks that would be presented during the experiment. Participants were then shown a few additional online questions, including some regarding last food intake, and how they made their choices. Finally, task instructions were given on paper and understanding of the task was verbally checked. If everything was clear, participants could start the experimental task (as described above in the Experimental task sec-tion). The entire experimental procedure took about 1 h per participant. 2.6. Eye tracking data acquisition and preparation

During both phases, eye movements were tracked using a 30-Hz Tobii Pro X20-30 eye tracker. At the beginning of the experiment, participants performed a 9-point calibration and validation until eye tracking was satisfactorily accurate. Fixations were labeled as left or right from the middle of the screen. Fixations on the midline were not categorized. For our analyses, we recoded trials with directional cues to fixations towards the cued or un-cued side. Blinks and missing data points were excluded from analyses (< 5% missing data for all condi-tions).

2.7. Choice and attention models

We estimated two types of models: A choice model and an attention model. Respondents' choices were modeled using a multi-level (full random effects) logistic regression model (e.g.Guo & Zhao, 2000) and fixation count (attention) was modeled as a multi-level Poisson re-gression model (e.g. Beaujean & Morgan, 2016; Hausman, Hall, & Griliches, 1984). The dependent variable was the choice for the left item: 1 if chosen, 0 if not chosen (same approach as used by Milosavljevic et al. (2012)). As independent variables we used (1) overall desirability, (2) visual salience, (3) the number offixations and (4) cue type (i.e. left cue, right cue, neutral cue). For overall desir-ability, salience, andfixations we have values for the left and the right choice option, so each is represented by two variables.

The model input variables were z-scored to have zero mean and unit standard deviation (Schielzeth, 2010), putting all predictors on a standardized scale, while not affecting the shape of the distributions.

The models were computed using the statistical package R (version lme4 package is 1.21), including the lme4 R package (Bates, Mächler, Bolker, & Walker, 2015) version 1.1.7.

Models were evaluated using p-values. In addition, we attempted a full step-up analysis (Säfken, Rügamer, Kneib, & Greven, 2018), i.e. looking at all possible sub-sets, but this approach did not work on our models. Instead, we evaluated the full model against the null model (intercept-only) and several alternative simpler models using AIC (Akaike, 1974) and BIC metrics (Schwarz, 1978) criteria. These mea-sures represent an alternative to using p-values (e.g. Wagenmakers, 2007) for evaluating and selecting models. Models with lower AIC and BIC values are preferred.

2.8. Results

In total there were 204 trials. Due to the time limit, not all subjects were able to make a choice in time on all trials. The average number of trials was 140.

The average desirability ratings for the food presented together were similar in value, with an average of 48.16 for items presented on the left, and 48.2 for items presented on the right: the difference is not statistically significant (p = 0.96), and an average of 46.51 for cued, and 46.40 for un-cued items: the difference is not statistically significant (p = 0.93). Note, however, that at the trial-level substantial value dif-ferences between the options could occur, depending on the individual's ratings (e.g. when a participant only used the extreme ends of the scale, a larger gap could occur). The average response time for cued chosen was 683.7 ms and for non-cued chosen 701.8 ms (t-Test =−2.9, p = 004). The averagefixation time for cued chosen was 393 ms and for non-cued chosen 290.3 ms (t-value 16.9, p < 0.001).

Participants chose a food item on 70.3 of the trials but failed to respond on 29.7% of trials. To further investigate the effects of visual salience, attention (fixation count), and overall value (desirability), we estimated a multi-level logistic regression model as outlined above. The results of this analysis are presented inTable 1.

As expected, value, visual salience, and attention all have significant effects (i.e. p-values < 0.10). The cue variables are not significant. Snacks with higher values are chosen more often, more salient snacks were chosen more often, and snacks that received more attention are chosen more often.

To evaluate the model against alternative models we compared this full model with several alternative models including the null model (intercept-only); a model with intercept and value variables; a model including intercept, value, and salience variables; and a model in-cluding intercept, value, salience, andfixations. We compared the set of alternative models with the full model using AIC (Akaike, 1974) and BIC (Schwarz, 1978) criteria. All alternative models have higher AIC values than the full model, though alternative model 4 (a model without the cue variables) had a lower BIC value relative to the full model. Full AIC & BIC results can be provided upon request.

Next, we ran a multi-level Poisson regression model (usingfixation count as the dependent variable).Table 2shows the results.

Table 1

Results multi-level logistic regressiona(binary snack choices,Experiment 1).

Coefficient Standard error z-Value p-Value

Intercept −0.07 0.07 −0.99 0.32

Left cue 0.11 0.10 1.03 0.31

Right cue 0.09 0.15 0.59 0.55

Left salience 0.15 0.08 1.90 0.06

Right salience −0.11 0.06 −1.80 0.07

Leftfixation count 0.22 0.08 2.56 0.01

Rightfixation count −0.59 0.09 −6.17 < 0.01

Left value 1.45 0.29 4.99 < 0.01

Right value −1.60 0.29 −5.10 < 0.01

a The model is based on N = 23, and a total of 3221 observations. The AIC

value for this model is 4072, the BIC is 4181.

Table 2

Results multi-level Poisson regressiona(fixation count,Experiment 1).

Coefficient Standard error z-Value p-Value

Intercept 5.90 0.06 90.76 < 0.01 Left cue 0.18 0.03 5.65 < 0.01 Right cue −0.41 0.11 −3.56 < 0.01 Left salience 0.01 0.01 1.70 0.09 Right salience 0.01 0.01 0.84 0.40 Left value −0.02 0.08 −0.28 0.80 Right value 0.00 0.08 0.08 0.93

a The model is based on N = 23, and a total of 3221 observations. The AIC

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The results show that cues have a significant impact on attention. Although cues did not have a direct effect on choice, they do have an indirect effect on choice because they affect attention, and attention significantly affects choice. To test the significance of the indirect effect of cue on choice we applied a mediation analysis using the bootstrap approach proposed byImai, Keele, and Tingly (2010), using their cor-responding R-package (Imai, Keele, Tingly, & Yamamoto, 2019). This yielded a statistically significant average causal mediation effect of 0.07, with a lower confidence interval value of 0.05 and an upper confidence value of 0.10 (p < 0.001). We found a direct effect of 0.05 (non-significant) and a total effect of 0.12 with a lower confidence in-terval value of 0.05 and an upper confidence value of 0.19 (p < 0.01). The odds ratios of indirect, direct and total effect are 1.07, 1.04 and 1.13. Salience, as one would expect, also had a significant effect on choice. The value variables parameters were non-significant.

To evaluate the model against alternative models we compared this full model with several alternative models, using AIC and BIC metrics. The alternative models included the null model (intercept-only); a model with intercept and value variables, and a model including in-tercept, value, and salience variables. All alternative models have higher AIC and BIC values than the full model.

3. Experiment 2

In Experiment 1 we found that cues affected attention and indirectly influenced choices. In contrast to the traditional Posner cueing task, our cue was task irrelevant. The question therefore remains why the cues worked. Potentially participants believed that the cues were relevant, even though we did not instruct them on the cues and their use. Another possibility is that the cueing effect occurs automatically, that is, without conscious attentional deployment.

To further investigate these possibilities, we performed the same experiment again, but varied the instructions between conditions. We used three conditions: a neutral condition, a task relevant condition and a task irrelevant condition. To replicate the first experiment, we in-cluded a neutral condition, in which participants were not briefed about the cues. In a cue irrelevant condition, we instructed them that the cues were not relevant and that they should try to ignore them. Finally, in a third cue relevant condition we instructed them that the cues could help them shift their attention and make a choice. If the cues would have an automatic effect on attention, the instructions should not influence viewing and decision-making behavior. If the attention effect on choice only occurs when people voluntarily shift attention to comply with task demands, we would expect tofind effects of attention in the relevant condition, while in the neutral condition the attention effect would be smaller, and in the irrelevant condition there would be no effect.

Previous studies have suggested that the effects of attention are transient and hence we included a time-limit in Experiment 1. To check whether we could still obtain effects of attention when response time is not limited, we removed the response time-limit in all three conditions of Experiment 2. Methods were almost the same as in Experiment 1. There were only two differences. The response time limit during the choice phase was removed, allowing participants to fully consider both options, and we gave the participants one of three different instructions regarding the cues before the experiment. We added an open-ended question at the end of the experiment to check what choice strategy participants used to be able to differentiate between cue-based and other strategies.

3.1. Participants

Participants of Experiment 2 were students from a senior marketing class at the University of Wisconsin-La Crosse, USA. The same selection and exclusion criteria were used as in Experiment 1. All participants gave written informed consent. The study was approved by the Institutional Review Board for the Protection of Human Subjects

University of Wisconsin, La Crosse. In total 87 participants performed Experiment 2, of which 43 were included in the analyses (age range = 18–24; M = 20.8, SD 1.1 years; 6 left-handed, 1 ambidex-trous).

In the cue neutral condition, we had 28 participants but data offive participants was excluded because of our exclusion criteria, and an additional four were excluded due to technical issues during eye tracking (due to the same issue as described for Experiment 1). Data is reported for the remaining 19 participants. In the cue irrelevant condi-tion, we had 29 participants. Five participants were excluded because of exclusion criteria, and eight because of technical issues during eye tracking. For the cue irrelevant condition, data is reported for the re-maining 16 participants. Finally, 30 participants did the cue relevant condition. Three of these did not meet the inclusion criteria, and 19 were excluded because of technical difficulties during eye tracking. Data is reported for the remaining 8 participants. All included partici-pants reported to be in somewhat good to excellent health and reported they regularly snacked. In return for participation, participants were given course credit and a $5 Starbucks card.

3.2. Results

The average desirability ratings for the food presented together were similar in value, with an average of 48.48 for items presented on the left, and 48.45 for items presented on the right: the difference is not statistically significant (p = 0.96), and an average of 48.5 for cued, and 48.4 for un-cued items: the difference is not statistically significant (p = 0.97). Note, however, that on the trial-level substantial value differences between the options could occur, depending on the in-dividual's ratings (e.g. when a participant only used the extreme ends of the scale, a larger gap could occur). The average response time for cued trials was 1037 ms and for non-cued trials 1059 ms (t-value =−1.44, p = 0.14). The averagefixation time for cued chosen was 553 ms and for non-cued chosen 485 ms (t-value 9.3, p < 0.001).

To further investigate the effects of visual salience, attention (fixa-tion count), and overall value (desirability) we estimated a multi-level logistic regression model (modeling approach identical to that of Experiment 1). The results of this analysis are presented inTable 3.

As expected, value and attention (fixation count) are both statisti-cally significant. In this case, salience is not, and the cue variables are also not significant. Snacks with higher values are chosen more often and snacks that received more attention are chosen more often.

Several alternative models were evaluated. All alternative models have higher AIC values than the full model, the alternative model without the cue variables had a lower BIC value relative to the full model (seeExperiment 1).

Next, we ran a multi-level Poisson regression model (usingfixation count as dependent variable).Table 4shows the results.

The results show that cues have a significant impact on attention. Although cues did not have a direct effect on choice, they do have an Table 3

Results multi-level logistic regressiona(binary snack choices,Experiment 2). Coefficient Standard error z-Value p-Value

Intercept −0.04 0.06 −0.74 0.46

Left cue −0.06 0.07 −0.95 0.34

Right cue 0.06 0.07 0.92 0.35

Left salience 0.06 0.05 1.11 0.27

Right salience −0.07 0.05 −1.28 0.20

Leftfixation count 0.33 0.09 3.83 < 0.01

Rightfixation count −0.52 0.11 −4.62 < 0.01

Left value 1.82 0.81 2.25 0.02

Right value −1.82 0.82 −2.21 0.03

a The model is based on N = 43, and a total of 8584 observations. The AIC

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indirect effect on choice because they affect attention, and attention significantly affects choice. We again tested the average mediation ef-fect using the bootstrap approach byImai et al. (2010), and found a statistically significant mediation effect of 0.01, with a lower con-fidence interval value of 0.0007 and an upper concon-fidence interval value of 0.02 (p = 0.04). We found a direct effect of 0.005 (non-significant) and a total effect of 0.015 (non-significant). The odds ratios of indirect, direct and total effect are 1.01, 1, and 1.01. Salience, as one would expect, also had a significant effect on attention. The value variables parameters were non-significant. We also evaluated the full model against several alternative, simpler models, identical to Experiment 1, and again the AIC and BIC values were lowest for the full model.

In Experiment 2 we used three different types of cue instructions, i.e.: no instruction/neutral condition (this replicated Experiment 1 ex-cept without the time constraint), an instruction that the cues are ir-relevant (irir-relevant condition) and they should be ignored, and an in-struction that the cues are relevant (relevant condition) and should be used. We estimated the full count models for each of these three con-ditions to investigate if the effect of cue changed. We only found minor differences. Both in the neutral and relevant condition, the cue vari-ables were statistically significant. Even in the irrelevant condition, one of the cue variables had a statistically significant effect.

3.3. Strategy

From all 90 participants that we tested in Experiment 2, only three participants mentioned having been influenced by the cues during a self-report questionnaire at the end of the experiment. One participant indicated that the cues influenced their first fixation, but not choice behavior. Another one believed that the cues affected their first fixation and thereby affected their choice. The third believed the cues affected their choices only towards the end of the task. Note, that most parti-cipants did not mention the cues at all, and instead mentioned having used a value-driven strategy.

4. General discussion

In the current study we present the results of two experiments aimed to investigate whether cues can effectively affect top-down visual at-tention to influence choices in a binary decision-making task. Top-down attention was manipulated by directional (left or right) cues, and non-directional cues were presented in a control condition. After the cue, participants were shown two similarly valued food items, simulta-neously, one on the left side of the screen, the other on the right side. The task was to choose their preferred item. In contrast with previous work, both choice options were presented for the same duration (Armel et al., 2008;Krajbich et al., 2010). In Experiment 1 there was a time-constraint to make the choices, in Experiment 2 there was not. Ex-periment 2 also included different instructions for the subjects on how to possibly use the cues in making their decisions (namely: no in-structions on how to use the clues, inin-structions to ignore them, and instructions to use them).

The effects of attention on choice behavior are typically observed for speeded responses (e.g.,Ratcliff, Smith, Brown, & McKoon, 2016) and short stimulus presentations (Milosavljevic et al., 2012). To allow for effects of attention to occur, participants were asked to give a speeded response, and the response window given per choice was limited to 1500 ms in Experiment 1. Probably due to these time con-straints, participants failed to respond on a substantial number of trials in this Experiment 1. The results showed that attention (measured via fixation count) had a significant effect on snack choices as did overall value of the snacks. This is consistent with several previous studies (Armel et al., 2008;Janiszewski et al., 2013;Krajbich et al., 2010and Schotter et al., 2010). Cueing had a significant effect on attention and hence had an indirect effect on choice, confirmed via a mediation analysis. This, to our knowledge is a new result.

To test whether the results from Experiment 1 were due to the time constraint imposed we set up a second experiment where we removed the response time limit.1Irrespective of time constraints we observed

similar choice and attention (fixation count) results. In both experi-ments, the effects of the task irrelevant cues did not directly impact choices but had a significant effect on attention, and an indirect effect on choices. Most participants did not mention that the cues affected their choices; the majority did not even mention the cues whatsoever when describing what affected their choices in a final self-report questionnaire. This suggests that the cues influenced participants' gaze and choices, even though they were not aware of the cues influencing their behavior. In the main analyses (Experiments 1 and 2) we found that value affected choice behavior.

Interestingly, without a response time limit in Experiment 2, we replicated the mainfindings of Experiment 1. This is in contrast with previous studies that have shown that the effects of attention on choice are influenced by time pressure (Milosavljevic et al., 2012;Orquin & Holmqvist, 2018;Reutskaja, Nagel, Camerer, & Rangel, 2011; Towal et al., 2013;van der Laan et al., 2015). A reason for this discrepancy may be that the effects of top-down attention are less dependent on time pressure than bottom-up driven effects may be. In our experiment, participants were directing (either consciously or not) their attention to the cued snack option, while in the previous studies attention was ty-pically drawn by salient stimuli or exogenous cues.

To take salience into account in the current study, we used an es-timate of the relative salience of the items. Our choice model (Table 1) for Experiment 1 showed that salient items had a higher chance of being chosen than non-salient cued items, but not so in Experiment 2. This is in line with several previous studies that have found that visual salience can influence choice behavior (Chen et al., 2013;Gidlöf et al., 2017;Milosavljevic et al., 2012;Schomaker & Wittmann, 2017). Maybe due to the relaxation of the time constraint salience failed to have a direct effect on choice in Experiment 2. Some have found that effects of salience are transient (e.g. Donk & Van Zoest, 2008), some found a salience effect to only occur for the first eye movement and within the first few hundred milliseconds after stimulus presentation, and under specific task conditions (Donk & Soesman, 2010; Li, Zhang, & Fine, 2013; Siebold, van Zoest, & Donk, 2011), while others have found salience to endure beyond thefirst fixation (e.g.Silvis & Donk, 2014). When no time constraint exists– as in Experiment 2 – the effects of visual salience may become less pronounced (Stoll, Thrun, Nuthmann, & Einhauser, 2015), or decrease less quickly as suggested byDonk and Van Zoest (2008)andOrquin and Lagerkvist (2015). Note, salience did have a significant effect on attention in both experiments and hence indirectly impacted choice. Visual salience biasing value-based decision making through its effects on attention could occur in several ways. First, visual salience could increase the speed of attentional selection, i.e., the processing onset (e.g.Chen et al., 2013;Töllner, Zehetleitner, Gramann, & Müller, 2011). Second, it could generally increase the Table 4

Results multi-level Poisson regressiona(fixation count,Experiment 2).

Coefficient Standard error z-Value p-Value

Intercept 6.28 0.04 162.91 < 0.01 Left cue 0.07 0.02 3.31 < 0.01 Right cue −0.16 0.02 −6.36 < 0.01 Left salience −0.01 0.01 −1.36 0.17 Right salience −0.02 0.01 −0.17 0.09 Left value −0.03 0.06 −0.41 0.70 Right value −0.01 0.06 −0.08 0.93

a The model is based on N = 43, and a total of 8584 observation. The AIC

value for this model is 1,478,911, the BIC is 1,479,010.

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processing speed. One study using stochastic accumulator models showed that both models including effects on onset and speed could explain the effects of visual salience on value-based decisions (Chen et al., 2013). Drift-diffusion models successfully explain the effects of visual salience on decision-making and response times in simple choice tasks (Krajbich & Rangel, 2011). These models suggest that the decision threshold can be dynamically adapted tofit ongoing goals and make a trade-off between the cost of accumulating more evidence against the cost of the time required to come to a decision (Bogacz, Brown, Moehlis, Holmes, & Cohen, 2006). Drift-diffusion models incorporating visual salience have shown that models including both value and visual salience explained and predicted viewing and choice behavior better than models that included only one of these factors (Towal et al., 2013). The task that we used was inspired by the traditional Posner cueing task. In contrast with a traditional Posner cueing task, the cues in our experiment were task irrelevant. They could even guide attention away from a preferred option. Nevertheless, they were effective in influen-cing top-down attention. These findings were robust: Irrespective of task demands, the cues successfully influenced attention and choice behavior. One reason for this could be that we are so conditioned to use cues, like arrows, in everyday life, that we do not need specific task instructions to do so. Ourfindings suggest that even irrelevant cues can be effective in guiding attention and influencing choices.

4.1. Implications

Attention can play a role in how advertisements and promotions are processed and how they impact consumer choices (e.g. standing in front of a supermarket shelf and deciding what brand to buy (for a review about the role of eye movements in marketing, seeWedel & Pieters, 2008)). There is tremendous competition for limited attentional re-sources. Consumers are bombarded with ads and there is strong com-petition, both at the across-brand and within-brand levels. Both simi-larity across choice items, and he sheer number of competing alternatives can make the choice hard (e.g. Chernev, Böckenholt, & Goodman, 2015; Cooper-Martin, 1993; Haynes, 2009). When con-sumers are strapped for time, they may be even more susceptible to cues. Ourfindings have several implications. Using cues to attract at-tention to the brand you would like to promote can be a profitable tactic, as it could increase the chance that a consumer will decide to buy it. Furthermore, as attentional allocation has been linked to successful memory encoding (Muzzio, Kentros, & Kandel, 2009), cues can help increase the memorability of products, increasing chances the product will be remembered on the next occasion, and thereby increasing chances it may be considered.

4.2. Limitations and further research

Past research using eye tracking data to understand choice processes has used a variety of models, of which drift diffusion models (DDMs) are probably most frequently used. DDMs are a family of accumulator models, and have been successful at explaining decision-making beha-vior and response times in simple tasks, including binary and trinary choices (Krajbich & Rangel, 2011). The idea behind these models is that information about options is accumulated over time. Once the evidence to favor one option exceeds a certain threshold, a decision is made. The threshold may be dynamically adapted to fit ongoing goals, and to optimize the cost of accumulating more evidence against the cost of the time required to come to a decision (Bogacz et al., 2006). Evidence accumulation, a key feature of this class of models, can be identified in neurological brain activity (Basten, Biele, Heekeren, & Fiebach, 2010; van Vugt, Beulen, & Taatgen, 2016). Some DDMs explicitly model the decision-making process over time and allow adjustment to the relative values of the choice items for eachfixation. In this study, we did not analyze fixation patterns over time within stimuli, but rather used fixation count to investigate the effectiveness of our main experimental

manipulation: the effects of top-down attention on choices. Our ex-perimental paradigm, however, offers a wide range of possibilities for modeling the choice process of within-stimulus fixations over time. Such analyses can be performed using traditional hidden- or semi-Markov modeling (Coutrot, Hsiao, & Chan, 2018), but also using state-of-the-art deep neural networks (LSTM) for behavioral predictions (Cornia, Baraldi, Serra, & Cucchiara, 2016). A recent comparison be-tween a DDM and a generalized linear logit model showed that the DDM resulted in better predictive accuracy (Clithero, 2018). However, the differences were small, especially in the case where the choice items were close in initial value. We are not aware of studies that have de-fined a DDM that included a top-down attention component, which would also be an interesting venue for future research.

4.3. Conclusion

Previous studies have already shown that bottom-up attention (e.g. Milosavljevic et al., 2012; Towal et al., 2013) and viewing behavior (Krajbich et al., 2010;Krajbich & Rangel, 2011) can bias choice beha-vior, but so far, no studies investigated the role of top-down attention in decision-making. Taken together, ourfindings suggest that task-irrele-vant cues can successfully affect top-down attention and influence choice behavior accordingly. Interestingly, the effects of the cues oc-curred above and beyond the effects of visual salience and value and occur irrespective of task demands. The arrows were effective cues that made participants involuntarily shift their attention towards the cued location, influencing their choice behavior accordingly. The use of ex-ternal cues could therefore prove to be an effective way to direct cus-tomers' attention and influence purchasing decisions in stimulus-rich shop settings.

Acknowledgments

We thank M. Groom and A. Baldowin for assistance with data col-lection and Prof. L.R.B. Schomaker for useful comments. We thank the reviewers of JBR, and especially Professors Michel Wedel and Jacob Orquin for their helpful and constructive feedback.

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